Details

analyze2.2s (16.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	140
1	4965	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14
18.6%	68%	13.5%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample2.1s (15.7%)

Algorithm

2×

intervals

Results

51.0ms	120×	body	1024	valid
22.0ms	93×	body	512	valid
18.0ms	248×	body	128	valid
12.0ms	13×	body	2048	valid
9.0ms	150×	body	128	nan
8.0ms	98×	body	128	overflowed
6.0ms	38×	body	256	valid
5.0ms	18×	body	1024	nan
3.0ms	17×	body	512	nan
1.0ms	9×	body	256	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 6075 to 7373 computations (-21.4% saved)

simplify296.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (291.0ms)

Iter	Nodes	Cost
0	5254	20

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

22.4b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.2b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.5b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

rewrite145.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

19×	`add-sqr-sqrt_binary64_10330`
17×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
12×	`times-frac_binary64_10314`
11×	`pow1_binary64_10369`
9×	`add-log-exp_binary64_10347`
8×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
5×	`log-pow_binary64_10397`
4×	`log-div_binary64_10395` `associate-+l+_binary64_10241` `associate-/l*_binary64_10253`
3×	`flip3-+_binary64_10311` `flip-+_binary64_10282` `log-prod_binary64_10394` `cancel-sign-sub-inv_binary64_10274` `associate-/r_binary64_10252` `associate-l_binary64_10249` `associate-r*_binary64_10248`
2×	`sum-log_binary64_10399` `div-sub_binary64_10313`
1×	`rem-log-exp_binary64_10349` `diff-log_binary64_10400` `associate-+l-_binary64_10243` `sub-neg_binary64_10301` `+-commutative_binary64_10238` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `frac-2neg_binary64_10319` `clear-num_binary64_10307` `div-inv_binary64_10305` `pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `*-commutative_binary64_10239`

Counts

4 → 82

Calls

4 calls:

8.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 1827 to 914 computations (50% saved)

series1.0s (7.4%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

531.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
243.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
104.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
66.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 2427 to 1782 computations (26.6% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4985	2707
1	4985	2707

prune163.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	7	125

Error

0.0b

Counts

125 → 7

Compiler

Compiled 2731 to 1614 computations (40.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 (log.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))) t)
0.2b	(exp.f64 (log.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))))
1.5b	(log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))
3.8b	(-.f64 (exp.f64 z) 1)

rewrite163.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64_10330`
27×	`*-un-lft-identity_binary64_10308`
24×	`add-cube-cbrt_binary64_10343`
23×	`log-prod_binary64_10394`
21×	`times-frac_binary64_10314`
20×	`exp-sum_binary64_10354`
11×	`pow1_binary64_10369`
7×	`log-pow_binary64_10397` `associate-/l*_binary64_10253`
6×	`add-log-exp_binary64_10347` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
4×	`exp-prod_binary64_10360`
3×	`cancel-sign-sub-inv_binary64_10274` `associate-/r*_binary64_10252`
2×	`difference-of-squares_binary64_10277` `log-div_binary64_10395`
1×	`diff-log_binary64_10400` `flip3--_binary64_10312` `sub-neg_binary64_10301` `flip--_binary64_10283` `difference-of-sqr-1_binary64_10278` `distribute-lft-out--_binary64_10260` `flip3-+_binary64_10311` `flip-+_binary64_10282` `rem-log-exp_binary64_10349` `rem-exp-log_binary64_10348` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `frac-2neg_binary64_10319` `clear-num_binary64_10307` `div-inv_binary64_10305`

Counts

4 → 91

Calls

4 calls:

5.0ms	(/.f64 (exp.f64 (log.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))) t)
5.0ms	(-.f64 (exp.f64 z) 1)
3.0ms	(log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))
2.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))))

Compiler

Compiled 2377 to 1654 computations (30.4% saved)

series1.4s (10.3%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

765.0ms	(/.f64 (exp.f64 (log.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1)))))) t)
329.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))))
255.0ms	(log.f64 (+.f64 1 (*.f64 y (-.f64 (exp.f64 z) 1))))
23.0ms	(-.f64 (exp.f64 z) 1)

Compiler

Compiled 1874 to 1451 computations (22.6% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	6371	2350

prune161.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Error

0.0b

Counts

127 → 8

Compiler

Compiled 2603 to 1713 computations (34.2% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 y t) z))
6.4b	(*.f64 (/.f64 y t) z)

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_10330`
13×	`associate-l_binary64_10249`
10×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308` `times-frac_binary64_10314`
7×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
4×	`pow1_binary64_10369` `add-log-exp_binary64_10347`
3×	`associate-r_binary64_10248`
2×	`prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276`
1×	`pow-prod-down_binary64_10379` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `associate-l/_binary64_10251` `div-inv_binary64_10305` `-commutative_binary64_10239` `diff-log_binary64_10400` `flip3--_binary64_10312` `sub-neg_binary64_10301` `flip--_binary64_10283` `cancel-sign-sub-inv_binary64_10274`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 (/.f64 y t) z)
3.0ms	(-.f64 x (*.f64 (/.f64 y t) z))

Compiler

Compiled 624 to 191 computations (69.4% saved)

series368.0ms (2.7%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

212.0ms	(-.f64 x (*.f64 (/.f64 y t) z))
140.0ms	(*.f64 (/.f64 y t) z)

Compiler

Compiled 537 to 385 computations (28.3% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5034	760

prune61.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	76	9	85

Error

0.0b

Counts

85 → 9

Compiler

Compiled 964 to 321 computations (66.7% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 y (/.f64 z t)))
4.4b	(*.f64 y (/.f64 z t))

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_10330`
13×	`associate-r_binary64_10248`
10×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308` `times-frac_binary64_10314`
7×	`add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344`
4×	`pow1_binary64_10369` `add-log-exp_binary64_10347`
3×	`associate-l_binary64_10249`
2×	`prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276`
1×	`pow-prod-down_binary64_10379` `div-exp_binary64_10359` `cbrt-undiv_binary64_10342` `associate-r/_binary64_10250` `div-inv_binary64_10305` `-commutative_binary64_10239` `diff-log_binary64_10400` `flip3--_binary64_10312` `sub-neg_binary64_10301` `flip--_binary64_10283` `cancel-sign-sub-inv_binary64_10274`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 y (/.f64 z t))
3.0ms	(-.f64 x (*.f64 y (/.f64 z t)))

Compiler

Compiled 624 to 191 computations (69.4% saved)

series390.0ms (2.9%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

221.0ms	(-.f64 x (*.f64 y (/.f64 z t)))
157.0ms	(*.f64 y (/.f64 z t))

Compiler

Compiled 537 to 385 computations (28.3% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5060	772

prune41.0ms (0.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	77	9	86

Error

0.0b

Counts

86 → 9

Compiler

Compiled 745 to 150 computations (79.9% saved)

regimes1.2s (8.6%)

Accuracy

Total 8.0b remaining (96.9%)

Threshold costs 0b (0%)

Compiler

Compiled 9899 to 8009 computations (19.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 2 to 5 computations (-150% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	100	50
1	100	50

end0.0ms (0%)

sample3.5s (25.3%)

Algorithm

1×

intervals

Results

745.0ms	1774×	body	1024	valid
323.0ms	1339×	body	512	valid
281.0ms	3814×	body	128	valid
256.0ms	298×	body	2048	valid
120.0ms	2637×	body	128	nan
108.0ms	775×	body	256	valid
85.0ms	1535×	body	128	overflowed
48.0ms	187×	body	1024	nan
42.0ms	235×	body	512	nan
20.0ms	160×	body	256	nan
1.0ms	24×	body	128	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 1067 to 849 computations (20.4% saved)

Details

analyze2.2s (16.4%)

sample2.1s (15.7%)

simplify296.0ms (2.2%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite145.0ms (1.1%)

series1.0s (7.4%)

simplify91.0ms (0.7%)

prune163.0ms (1.2%)

localize11.0ms (0.1%)

rewrite163.0ms (1.2%)

series1.4s (10.3%)

simplify93.0ms (0.7%)

prune161.0ms (1.2%)

localize6.0ms (0%)

rewrite49.0ms (0.4%)

series368.0ms (2.7%)

simplify52.0ms (0.4%)

prune61.0ms (0.5%)

localize6.0ms (0%)

rewrite42.0ms (0.3%)

series390.0ms (2.9%)

simplify60.0ms (0.4%)

prune41.0ms (0.3%)

regimes1.2s (8.6%)

bsearch2.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.5s (25.3%)

Profiling